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Finding the Third Proportional to 64,432,915,564 and 130,703,055,876

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Solution

The third proportional to 64,432,915,564 and 130,703,055,876 is: 265,132,947,435.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,432,915,564 : 130,703,055,876 = 130,703,055,876 : x
  2. Step 2: Convert to fraction form
    64,432,915,564/130,703,055,876 = 130,703,055,876/x
  3. Step 3: Cross multiply
    64,432,915,564x = 130,703,055,876 × 130,703,055,876
  4. Step 4: Simplify right side
    64,432,915,564x = 17,083,288,815,324,777,938,944
  5. Step 5: Solve for x
    x = 17,083,288,815,324,777,938,944/64,432,915,564
  6. Step 6: Final answer
    x = 265,132,947,435.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.